Finite Group Databasebeta

← Group #12009439

Character table — Group #12009439

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222444488888888816162244488881616161616161616163232224448888161616161616161616323255101010202020204040404040404040408080
order122442488444481616161624510102020102040402020202040808080801020510102020102040402020202040808080801020222442488444481616161624
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-111111-1-1111111111-1-1-1-111111-1-1111111111-1-1-1-111111-1-1111111111-1-1-1-111111-1-1
χ4111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-111
χ511111-1-1-1-1ii−i−i1ii−i−i1-111111-1-1-1-1ii−i−i1ii−i−i1-111111-1-1-1-1ii−i−i1ii−i−i1-111111-1-1-1-1ii−i−i1ii−i−i1-1
χ611111-1-1-1-1ii−i−i1−i−iii-1111111-1-1-1-1ii−i−i1−i−iii-1111111-1-1-1-1ii−i−i1−i−iii-1111111-1-1-1-1ii−i−i1−i−iii-11
χ711111-1-1-1-1−i−iii1ii−i−i-1111111-1-1-1-1−i−iii1ii−i−i-1111111-1-1-1-1−i−iii1ii−i−i-1111111-1-1-1-1−i−iii1ii−i−i-11
χ811111-1-1-1-1−i−iii1−i−iii1-111111-1-1-1-1−i−iii1−i−iii1-111111-1-1-1-1−i−iii1−i−iii1-111111-1-1-1-1−i−iii1−i−iii1-1
χ92222222-2-20000-20000002222222-2-20000-20000002222222-2-20000-20000002222222-2-20000-2000000
χ1022222-2-2220000-200000022222-2-2220000-200000022222-2-2220000-200000022222-2-2220000-2000000
χ11222-2-22-200000002−22−200222-2-22-200000002−22−200222-2-22-200000002−22−200222-2-22-200000002−22−200
χ12222-2-22-20000000−22−2200222-2-22-20000000−22−2200222-2-22-20000000−22−2200222-2-22-20000000−22−2200
χ13222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200
χ14222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200
χ1522-22-2002i−2i1+i−1−i1−i−1+i000000022-22-2002i−2i1+i−1−i1−i−1+i000000022-22-2002i−2i1+i−1−i1−i−1+i000000022-22-2002i−2i1+i−1−i1−i−1+i0000000
χ1622-22-2002i−2i−1−i1+i−1+i1−i000000022-22-2002i−2i−1−i1+i−1+i1−i000000022-22-2002i−2i−1−i1+i−1+i1−i000000022-22-2002i−2i−1−i1+i−1+i1−i0000000
χ1722-22-200−2i2i1−i−1+i1+i−1−i000000022-22-200−2i2i1−i−1+i1+i−1−i000000022-22-200−2i2i1−i−1+i1+i−1−i000000022-22-200−2i2i1−i−1+i1+i−1−i0000000
χ1822-22-200−2i2i−1+i1−i−1−i1+i000000022-22-200−2i2i−1+i1−i−1−i1+i000000022-22-200−2i2i−1+i1−i−1−i1+i000000022-22-200−2i2i−1+i1−i−1−i1+i0000000
χ1944-4-4400000000000000044-4-4400000000000000044-4-4400000000000000044-4-44000000000000000
χ208-80000000000000000008-80000000000000000008-80000000000000000008-8000000000000000000
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ23111111111-1-1-1-111111-1-1111111111-1-1-1-111111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ24111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-11111-11111-1-1
χ2511111-1-1-1-1ii−i−i1ii−i−i1-111111-1-1-1-1ii−i−i1ii−i−i1-111111-1-1-1-1ii−i−i1ii−i−i1-1-1-1-1-1-11111−i−iii-1−i−iii-11
χ2611111-1-1-1-1ii−i−i1−i−iii-1111111-1-1-1-1ii−i−i1−i−iii-1111111-1-1-1-1ii−i−i1−i−iii-11-1-1-1-1-11111−i−iii-1ii−i−i1-1
χ2711111-1-1-1-1−i−iii1ii−i−i-1111111-1-1-1-1−i−iii1ii−i−i-1111111-1-1-1-1−i−iii1ii−i−i-11-1-1-1-1-11111ii−i−i-1−i−iii1-1
χ2811111-1-1-1-1−i−iii1−i−iii1-111111-1-1-1-1−i−iii1−i−iii1-111111-1-1-1-1−i−iii1−i−iii1-1-1-1-1-1-11111ii−i−i-1ii−i−i-11
χ292222222-2-20000-20000002222222-2-20000-20000002222222-2-20000-2000000-2-2-2-2-2-2-22200002000000
χ3022222-2-2220000-200000022222-2-2220000-200000022222-2-2220000-2000000-2-2-2-2-222-2-200002000000
χ31222-2-22-200000002−22−200222-2-22-200000002−22−200222-2-22-200000002−22−200-2-2-222-220000000−22−2200
χ32222-2-22-20000000−22−2200222-2-22-20000000−22−2200222-2-22-20000000−22−2200-2-2-222-2200000002−22−200
χ33222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200222-2-2-220000000i2−i2−i2i200-2-2-2222-20000000−i2i2i2−i200
χ34222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200222-2-2-220000000−i2i2i2−i200-2-2-2222-20000000i2−i2−i2i200
χ3522-22-2002i−2i1+i−1−i1−i−1+i000000022-22-2002i−2i1+i−1−i1−i−1+i000000022-22-2002i−2i1+i−1−i1−i−1+i0000000-2-22-2200−2i2i−1−i1+i−1+i1−i0000000
χ3622-22-2002i−2i−1−i1+i−1+i1−i000000022-22-2002i−2i−1−i1+i−1+i1−i000000022-22-2002i−2i−1−i1+i−1+i1−i0000000-2-22-2200−2i2i1+i−1−i1−i−1+i0000000
χ3722-22-200−2i2i1−i−1+i1+i−1−i000000022-22-200−2i2i1−i−1+i1+i−1−i000000022-22-200−2i2i1−i−1+i1+i−1−i0000000-2-22-22002i−2i−1+i1−i−1−i1+i0000000
χ3822-22-200−2i2i−1+i1−i−1−i1+i000000022-22-200−2i2i−1+i1−i−1−i1+i000000022-22-200−2i2i−1+i1−i−1−i1+i0000000-2-22-22002i−2i1−i−1+i1+i−1−i0000000
χ3944-4-4400000000000000044-4-4400000000000000044-4-44000000000000000-4-444-4000000000000000
χ408-80000000000000000008-80000000000000000008-8000000000000000000-88000000000000000000
χ4122222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000
χ4222222222222222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+5200000000000000000000
χ43222222222-2-2-2-222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+5200000000000000000000
χ44222222222-2-2-2-22-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+521+521+52−1−52−1−5200000000000000000000
χ4522222-2-2-2-22i2i−2i−2i22i2i−2i−2i2-2−1+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+5200000000000000000000
χ4622222-2-2-2-22i2i−2i−2i2−2i−2i2i2i-22−1+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−5200000000000000000000
χ4722222-2-2-2-2−2i−2i2i2i22i2i−2i−2i-22−1+52−1+52−1+52−1+52−1+521−521−521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+52−1−52−1−52−1−52−1−52−1−521+521+521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−5200000000000000000000
χ4822222-2-2-2-2−2i−2i2i2i2−2i−2i2i2i2-2−1+52−1+52−1+52−1+52−1+521−521−521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+5200000000000000000000
χ494444444-4-40000-4000000−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−500001−5000000−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+500001+500000000000000000000000000
χ5044444-4-4440000-4000000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+500001−5000000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−500001+500000000000000000000000000
χ51444-4-44-4000000022−2222−2200−1+5−1+5−1+51−51−5−1+51−50000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700−1−5−1−5−1−51+51+5−1−51+50000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ390000000000000000000000
χ52444-4-44-40000000−2222−222200−1+5−1+5−1+51−51−5−1+51−50000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700−1−5−1−5−1−51+51+5−1−51+50000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ390000000000000000000000
χ53444-4-4-4400000002i2−2i2−2i22i200−1+5−1+5−1+51−51−51−5−1+50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700−1−5−1−5−1−51+51+51+5−1−50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000
χ54444-4-4-440000000−2i22i22i2−2i200−1+5−1+5−1+51−51−51−5−1+50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700−1−5−1−5−1−51+51+51+5−1−50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000
χ5544-44-4004i−4i2+2i−2−2i2−2i−2+2i0000000−1+5−1+51−5−1+51−500−2ζ22−2ζ382ζ22+2ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ380000000−1−5−1−51+5−1−51+500−2ζ6−2ζ142ζ6+2ζ14−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36000000000000000000000000000
χ5644-44-4004i−4i−2−2i2+2i−2+2i2−2i0000000−1+5−1+51−5−1+51−500−2ζ22−2ζ382ζ22+2ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ380000000−1−5−1−51+5−1−51+500−2ζ6−2ζ142ζ6+2ζ14ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36000000000000000000000000000
χ5744-44-400−4i4i2−2i−2+2i2+2i−2−2i0000000−1+5−1+51−5−1+51−5002ζ22+2ζ38−2ζ22−2ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ380000000−1−5−1−51+5−1−51+5002ζ6+2ζ14−2ζ6−2ζ14−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36000000000000000000000000000
χ5844-44-400−4i4i−2+2i2−2i−2−2i2+2i0000000−1+5−1+51−5−1+51−5002ζ22+2ζ38−2ζ22−2ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ380000000−1−5−1−51+5−1−51+5002ζ6+2ζ14−2ζ6−2ζ14ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36000000000000000000000000000
χ5988-8-88000000000000000−2+25−2+252−252−25−2+25000000000000000−2−25−2−252+252+25−2−2500000000000000000000000000000000000
χ6016-16000000000000000000−4+454−45000000000000000000−4−454+4500000000000000000000000000000000000000
χ6122222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000
χ6222222222222222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−5200000000000000000000
χ63222222222-2-2-2-222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−5200000000000000000000
χ64222222222-2-2-2-22-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+521−521−521−521−52−1+52−1+5200000000000000000000
χ6522222-2-2-2-22i2i−2i−2i22i2i−2i−2i2-2−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−5200000000000000000000
χ6622222-2-2-2-22i2i−2i−2i2−2i−2i2i2i-22−1−52−1−52−1−52−1−52−1−521+521+521+521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+5200000000000000000000
χ6722222-2-2-2-2−2i−2i2i2i22i2i−2i−2i-22−1−52−1−52−1−52−1−52−1−521+521+521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−52−1+52−1+52−1+52−1+52−1+521−521−521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+5200000000000000000000
χ6822222-2-2-2-2−2i−2i2i2i2−2i−2i2i2i2-2−1−52−1−52−1−52−1−52−1−521+521+521+521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−5200000000000000000000
χ694444444-4-40000-4000000−1−5−1−5−1−5−1−5−1−5−1−5−1−51+51+500001+5000000−1+5−1+5−1+5−1+5−1+5−1+5−1+51−51−500001−500000000000000000000000000
χ7044444-4-4440000-4000000−1−5−1−5−1−5−1−5−1−51+51+5−1−5−1−500001+5000000−1+5−1+5−1+5−1+5−1+51−51−5−1+5−1+500001−500000000000000000000000000
χ71444-4-44-4000000022−2222−2200−1−5−1−5−1−51+51+5−1−51+50000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900−1+5−1+5−1+51−51−5−1+51−50000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ370000000000000000000000
χ72444-4-44-40000000−2222−222200−1−5−1−5−1−51+51+5−1−51+50000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900−1+5−1+5−1+51−51−5−1+51−50000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ370000000000000000000000
χ73444-4-4-4400000002i2−2i2−2i22i200−1−5−1−5−1−51+51+51+5−1−50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+5−1+5−1+51−51−51−5−1+50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000
χ74444-4-4-440000000−2i22i22i2−2i200−1−5−1−5−1−51+51+51+5−1−50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+5−1+5−1+51−51−51−5−1+50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000
χ7544-44-4004i−4i2+2i−2−2i2−2i−2+2i0000000−1−5−1−51+5−1−51+500−2ζ6−2ζ142ζ6+2ζ14−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ360000000−1+5−1+51−5−1+51−500−2ζ22−2ζ382ζ22+2ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38000000000000000000000000000
χ7644-44-4004i−4i−2−2i2+2i−2+2i2−2i0000000−1−5−1−51+5−1−51+500−2ζ6−2ζ142ζ6+2ζ14ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ360000000−1+5−1+51−5−1+51−500−2ζ22−2ζ382ζ22+2ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38000000000000000000000000000
χ7744-44-400−4i4i2−2i−2+2i2+2i−2−2i0000000−1−5−1−51+5−1−51+5002ζ6+2ζ14−2ζ6−2ζ14−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ360000000−1+5−1+51−5−1+51−5002ζ22+2ζ38−2ζ22−2ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38000000000000000000000000000
χ7844-44-400−4i4i−2+2i2−2i−2−2i2+2i0000000−1−5−1−51+5−1−51+5002ζ6+2ζ14−2ζ6−2ζ14ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ360000000−1+5−1+51−5−1+51−5002ζ22+2ζ38−2ζ22−2ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38000000000000000000000000000
χ7988-8-88000000000000000−2−25−2−252+252+25−2−25000000000000000−2+25−2+252−252−25−2+2500000000000000000000000000000000000
χ8016-16000000000000000000−4−454+45000000000000000000−4+454−4500000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.